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Finding the Third Proportional to 32,922 and 48,146

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Solution

The third proportional to 32,922 and 48,146 is: 70,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922 : 48,146 = 48,146 : x
  2. Step 2: Convert to fraction form
    32,922/48,146 = 48,146/x
  3. Step 3: Cross multiply
    32,922x = 48,146 × 48,146
  4. Step 4: Simplify right side
    32,922x = 2,318,037,316
  5. Step 5: Solve for x
    x = 2,318,037,316/32,922
  6. Step 6: Final answer
    x = 70,409.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.